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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 226576.ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
226576.ci1 | 226576de1 | \([0, 1, 0, -231296, 39680171]\) | \(12544\) | \(109092253016474896\) | \([]\) | \(1607424\) | \(2.0127\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 226576.ci1 has rank \(0\).
Complex multiplication
The elliptic curves in class 226576.ci do not have complex multiplication.Modular form 226576.2.a.ci
sage: E.q_eigenform(10)